Question

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

Answer 1

Answer:

6

Step-by-step explanation:

In this instance, the constant of variation is the same as the slope.  The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points we're given, we have

$m=\frac{30-18}{5-3}=\frac{12}{2}=6$

The constant of variation is 6.

Answer 2

Sub in one of the points, doesn’t matter which one because they will give the same answer.
(3,18)
18=3k
k=6
hope this helps :))